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Finding the Fourth Proportional to 25,645.96, 38,468.54 and 13,158.78

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Solution

The fourth proportional to 25,645.96, 38,468.54 and 13,158.78 is: 19,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.96 : 38,468.54 = 13,158.78 : x
  2. Step 2: Convert to fraction form
    25,645.96/38,468.54 = 13,158.78/x
  3. Step 3: Cross multiply
    25,645.96x = 38,468.54 × 13,158.78
  4. Step 4: Simplify right side
    25,645.96x = 506,199,054.78
  5. Step 5: Solve for x
    x = 506,199,054.78/25,645.96
  6. Step 6: Final answer
    x = 19,737.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.